Elements of Euclid [selections from book 1-6] adapted to modern methods in geometry, by J. Bryce and D. Munn |
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Veelvoorkomende woorden en zinsdelen
ABCD altitude base BOOK called centre chord circle circumference cloth coincide common compounded Const construction conv Conversely definition describe diagonal diameter difference distance divided double draw drawn equal extremities Fcap figure follows formed four fourth GEOGRAPHY geometrical given circle given line given point greater half hence hypotenuse inscribed intersecting Join less Let ABC magnitudes manner mean measure meet method middle point multiple opposite sides parallel parallelogram pass perpendicular polygon problem produced Prop proportional Proposition quantities radius ratio rectangle contained regular remaining required to prove respectively right angles schol segments shew shewn sides similar Similarly square straight line taken tangent third touch triangle ABC units vertical whole
Populaire passages
Pagina 68 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Pagina 77 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Pagina 50 - If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram is double of the triangle.
Pagina 87 - If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section.
Pagina 30 - Any two sides of a triangle are together greater than the third side.
Pagina 206 - Tin; rectangle, contained by the diagonals of a quadrilateral inscribed in a circle, is equal to the sum of the rectangles contained by its opposite sides. Let ABCD be any quadrilateral inscribed in a circle...
Pagina 89 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.
Pagina 98 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.
Bibliografische gegevens
| Titel | Elements of Euclid [selections from book 1-6] adapted to modern methods in geometry, by J. Bryce and D. Munn Collins' sch. series |
| Auteur | Euclides |
| Redacteur | James Bryce |
| gepubliceerd | 1874 |
| Oorspronkelijk uit | Oxford University |
| Gedigitaliseerd | 7 sep 2006 |
| Citatie exporteren | BiBTeX EndNote RefMan |